Systems of Equations Substitution & Elimination Method Flashcard

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation. If both equations are true, the point is a solution.

Front

What is the first step in the elimination method?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

What is the first step in the substitution method?

Back

Solve one of the equations for one variable in terms of the other variable.

Front

Solve the system by elimination: 7x - y = -10 and -7x + 5y = -6.

Back

(-2, -4)

Front

Solve for x and y: 3x + 2y = 16 and 7x + y = 19.

Back

(2, 5)

Front

Is the point (2, -1) a solution to the system: y = 5x + 3 and y = -2x - 4?

Back

No